## Math Art: Latin Square
According to Wikipedia: "A Latin square is an We can also make Orthogonal Latin Squares (a.k.a. Greaco-Latin Squares) which are defined by Wikipedia as: "An orthogonal Latin squares of order - every row and every column contains exactly one
*s*∈*S*and exactly one*t*∈*T*, and - no two cells contain the same ordered pair of symbols."
You can think of this as one Latin square on top of another in which each ordered pair at each position on the Latin square is unique. Here are a couple examples. The larger squares make a Latin square, the smaller squares make a Latin Square, and no two ordered pairs are the same. To take it one step further, we can have Mutually Orthogonal Latin Squares (MOLS). This involves a set of Latin Squares in which each pair of Latin Squares is orthogonal. The following image contains 3 Latin squares (small, medium, and large squares) and each pair of Latin Squares is orthogonal. Here is an image that I made of eight 9 × 9 MOLS: ## Further Reading |